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dc.contributor.authorApichart Sa-nguannam
dc.date.accessioned2015-05-20T08:09:05Z
dc.date.accessioned2020-09-24T04:46:35Z-
dc.date.available2015-05-20T08:09:05Z
dc.date.available2020-09-24T04:46:35Z-
dc.date.issued2012
dc.identifier.urihttp://www.repository.rmutt.ac.th/dspace/handle/123456789/2252-
dc.description.abstractThe purposes of this thesis are to (1) study properties and characterizations of small simple quasi-injective modules, (2) study properties and characterizations of endomorphism rings of small simple quasi-injective modules, (3) extend the concept of small principally quasi-injective modules, and (4) find some relations between small simple quasi-injective modules, small principally quasi-injective modules and projective modules. Let R be a ring. A right R-module M is called mininjective if, for each simple right ideal K of R, every R-homomorphism γ: K → M extends to an R-homomorphism from R to M. A right R-module N is called small principally M-injective if every R-homomorphism from a small and principal submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called small principally quasi-injective if it is small principally M-injective. The notion of small principally quasi-injective modules is extended to be small simple quasi-injective modules. A right R-module N is called small simple M-injective if every R-homomorphism from a small and simple submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called small simple quasi-injective if it is small simple M-injective.en_US
dc.language.isoenen_US
dc.publisherRajamangala University of Technology Thanyaburi. Faculty of Science and Technologyen_US
dc.subjectSmall Simple Quasi-injective Modulesen_US
dc.subjectSmall Principally Quasi-injective Modulesen_US
dc.subjectEndomorphism Ringsen_US
dc.titleSmall Simple Quasi-injective Modulesen_US
dc.typeThesisen_US
Appears in Collections:วิทยานิพนธ์ (Thesis - SCI)

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